414081945 has 12 divisors (see below), whose sum is σ = 717742116. Its totient is φ = 220843680.

The previous prime is 414081929. The next prime is 414081947. The reversal of 414081945 is 549180414.

It can be written as a sum of positive squares in 2 ways, for example, as 149303961 + 264777984 = 12219^2 + 16272^2 .

It is not a de Polignac number, because 414081945 - 2⁴ = 414081929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414081947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4600866 + ... + 4600955.

It is an arithmetic number, because the mean of its divisors is an integer number (59811843).

Almost surely, 2^414081945 is an apocalyptic number.

414081945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414081945 is a deficient number, since it is larger than the sum of its proper divisors (303660171).

414081945 is a wasteful number, since it uses less digits than its factorization.

414081945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201832 (or 9201829 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 414081945 is about 20349.0035382571. The cubic root of 414081945 is about 745.3531619892.

The spelling of 414081945 in words is "four hundred fourteen million, eighty-one thousand, nine hundred forty-five".